3212123320313 has 2 divisors, whose sum is σ = 3212123320314. Its totient is φ = 3212123320312.

The previous prime is 3212123320297. The next prime is 3212123320321. The reversal of 3212123320313 is 3130233212123.

3212123320313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3075628540009 + 136494780304 = 1753747^2 + 369452^2 .

It is a cyclic number.

It is not a de Polignac number, because 3212123320313 - 2⁴ = 3212123320297 is a prime.

It is a super-2 number, since 2×3212123320313² (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (3212123320333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1606061660156 + 1606061660157.

It is an arithmetic number, because the mean of its divisors is an integer number (1606061660157).

Almost surely, 2^{3212123320313} is an apocalyptic number.

It is an amenable number.

3212123320313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3212123320313 is an equidigital number, since it uses as much as digits as its factorization.

3212123320313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 3212123320313 its reverse (3130233212123), we get a palindrome (6342356532436).

The spelling of 3212123320313 in words is "three trillion, two hundred twelve billion, one hundred twenty-three million, three hundred twenty thousand, three hundred thirteen".